38509880760 has 256 divisors, whose sum is σ = 139670697600. Its totient is φ = 9381298176.

The previous prime is 38509880753. The next prime is 38509880779. The reversal of 38509880760 is 6708890583.

It is a happy number.

It is a super-2 number, since 2×38509880760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38509880697 and 38509880706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1347742 + ... + 1376018.

Almost surely, 2^38509880760 is an apocalyptic number.

38509880760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38509880760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69835348800).

38509880760 is an abundant number, since it is smaller than the sum of its proper divisors (101160816840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38509880760 is a wasteful number, since it uses less digits than its factorization.

38509880760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28407 (or 28397 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 38509880760 in words is "thirty-eight billion, five hundred nine million, eight hundred eighty thousand, seven hundred sixty".